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Arrow's Impossiblity Theorem by Harper Kerkhoff '20

Wed, November 6th, 2019
1:00 pm
- 1:45 pm

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Arrow’s Impossibility Theorem by Harper Kerkhoff ’20, Wednesday, November 6, 1 – 1:45 pm, Stetson Court Classroom 110, Mathematics Colloquium

Abstract:  Arrow’s Impossibility Theorem states that under reasonable conditions for voting, the only social function that will lead to a result that is representative of the population is a dictatorship.  This talk will include a proof of Arrow’s theorem, a discussion of systems of voting that violate conditions of reasonability, and alternatives to Arrow’s theorem that could give us a sense of hope after all.

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